Question

Please Help! I Have Limited Time! A student is measuring the length of an icicle, y, every hour, x. The icicle is currently 9 inches long and is melting at a rate of 0.6 inches per hour. Find and interpret the slope for this relationship.

A. 9; the length of the icicle when the student first measures it.
B. −9; the length of the icicle when the student first measures it.
C. 0.6; for every additional hour, the length of the icicle increases by 0.6 inches.
D. −0.6; for every additional hour, the length of the icicle decreases by 0.6 inches.

Answer 1

D

Explanation:

The correct answer is D. −0.6; for every additional hour, the length of the icicle decreases by 0.6 inches.

The slope of a line represents the rate of change of one variable with respect to the other variable. In this case, the length of the icicle (y) is changing with respect to time (x). The slope of the line represents the change in the length of the icicle (y) for every additional hour (x).

Since the icicle is melting at a rate of 0.6 inches per hour, the length of the icicle decreases by 0.6 inches for every additional hour. The slope of the line representing this relationship is -0.6. This means that for every additional hour, the length of the icicle decreases by 0.6 inches.

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